Question

Write the equation y=ax+b for the given values of a and b, rounding them to the nearest tenth.

a) a=2.7, b=4.9
b) a=−1.3, b=7.8
c) a=0, b=−3.2
d) a=5.6, b=0.1

Answer 1

When constructing a linear equation from values provided for the slope (a) and y-intercept (b), substitute them into the equation y = ax + b. If rounding is required, ensure to round to the nearest tenth. Examples include y = 2.7x + 4.9 and y = -1.3x + 7.8.

Step-by-step explanation:

The equation y = ax + b is the general form of a linear equation where a represents the slope and b represents the y-intercept. When given the values for a and b, you can substitute them directly into this equation. Remember to round the values to the nearest tenth, if necessary.

• a) With a = 2.7 and b = 4.9, the linear equation would be y = 2.7x + 4.9.
• b) With a = -1.3 and b = 7.8, the linear equation would be y = -1.3x + 7.8.
• c) With a = 0 and b = -3.2, the linear equation would simply be y = -3.2, since the slope is 0.
• d) With a = 5.6 and b = 0.1, the equation is y = 5.6x + 0.1.